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Finding the Fourth Proportional to 282,413.34, 389,732.88 and 155,089.80

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Solution

The fourth proportional to 282,413.34, 389,732.88 and 155,089.80 is: 214,025.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,413.34 : 389,732.88 = 155,089.80 : x
  2. Step 2: Convert to fraction form
    282,413.34/389,732.88 = 155,089.80/x
  3. Step 3: Cross multiply
    282,413.34x = 389,732.88 × 155,089.80
  4. Step 4: Simplify right side
    282,413.34x = 60,443,594,412.62
  5. Step 5: Solve for x
    x = 60,443,594,412.62/282,413.34
  6. Step 6: Final answer
    x = 214,025.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.